<p>A nuclear medical diagnosing apparatus having a sensitivity improved by reducing data undercount. A data sorting section (50) in a data collecting unit (3) re-arranges the data packets from auxiliary data collecting units (2) in order of detection time data and outputs them. A coincidence judging section (51) has a pair checking block (52) and a pair producing block (53). The pair checking block (52) detects a pair of coincidence counting by referring to the order of time of the data packets re-arranged in order of detection time. The pair producing block (53) pairs the data packets according to the detection results and outputs the pair to a collection workstation (5).</p>